Numerical Technique with Extrapolation Method Suitable for Calculation of Incompressible Flow on Massively Parallel Computer : 2nd Report, Application of Extrapolation Method to N-S Equations

Abstract

In the previous paper, three existing extrapolation methods and the newly developed one, LWE, were discussed. Furthermore ROLE, one of the existing extrapolation methods, and LWE were applied to numerical analysis of Poisson's equation and their suitability for massively parallel computing was shown. In this paper, we clarify mathematically that the extrapolation methods described in the previous paper can be applied to the iterative solution of a nonlinear equation. We select the coupled method as a numerical algorithm for incompressible flow because it is simple and its procedures can be efficiently parallelized. We combine the coupled method and the extrapolation method, and create a parallel code which is appropriate for massively parallel computers. Our code is ported on AP1000 and its performance is discussed.